Constant Velocity Unit: Worksheet 1

Name Date Pd HONORS

. Constant Velocity Unit: Worksheet 1

1. Consider the position vs. time graph below for cyclists A and B.

) A m (

5 t ( s ) a. Do the cyclists start at the same point? How do you know? If not, which is ahead?

b. At t= 7s, which cyclist is ahead? How do you know?

c. Which cyclist is travelling faster at t = 3s? How do you know?

d. Are their velocities equal at any time? How do you know?

e. What is happening at the intersection of lines A and B?

f. What would the motion map look like for cyclist A and B? (use two colors)

g. What would the energy bar charts look like for cyclist A and B at t=3s, 5s, and 7s?

MHS PHYSICS GROUP 1 Constant Velocity WS1 Honors .

2. Consider the position vs. time graph below for cyclists A and B.

Graph from Problem One New Graph

) A A m ) (

x m ( B X

5 t ( s ) 5 t ( s )

a. How does the motion of the cyclist A in the new graph compare to that of A in the previous graph from page one?

b. How does the motion of cyclist B in the new graph compare to that of B in the previous graph?

c. Which cyclist has the greater speed? How do you know?

d. Describe what is happening at the intersection of lines A and B.

e. Which cyclist traveled a greater distance during the first 5 seconds? How do you know?

f. What would the motion map look like for cyclist A and B? (use two colors)

g. What would the energy bar charts look like for cyclist A and B at t=3s, 5s, and 7s?

MHS PHYSICS GROUP 2 Constant Velocity WS1 Honors 3. Robin, roller skating down a marked sidewalk, was observed to be at the following positions at the times listed below:

t (s) x (m) 0.0 10.0 1.0 12.0 2.0 14.0 5.0 20.0 8.0 26.0 10.0 30.0 a. Plot a position vs. time graph for the skater.

b. How far from the starting point was he at t = 6s? How do you know?

c. What is the velocity and starting position of the skater?

d. Was his speed constant over the entire interval? How do you know?

e. Write a mathematical representation (equation) to describe the line in terms of x and t.

f. Using the mathematical representation (equation) predict where the skater will be if he continues to skate at this rate for one minute.

g. How far from the origin will the skater in this problem be located after one hour? What assumptions do you have to make to solve this problem?

h. If this skater had begun at the origin, what constant speed would be required to reach the same final position at 10 seconds.

MHS PHYSICS GROUP 3 Constant Velocity WS1 Honors 4. The following motion diagram was drawn for a second trial:

a. Plot the position vs. time graph for the skater.

b. Was his speed constant? If so, what was it?

c. What is the mathematical representation (equation) of this skater?

d. How far from the starting point was he at t = 5s? How do you know?

e. Using the mathematical representation (equation) above how much time would it take this skater to skate one kilometer (1000m).

f. In question 3 the skater was further along at 2s than in question 4. Does this mean that he was going faster? Explain your answer.

g. If this skater had begun at the origin, what constant speed would be required to reach the same final position at 4 seconds?

MHS PHYSICS GROUP 4 Constant Velocity WS1 Honors